Die Ausgleichung und Genauigkeit Eines Polygonzuges mit Lagengemäss Ungenauen Anschlusspunkten

Summary In adjusting a bilaterally connected polygonal traverse, whether to positionally accurate or inaccurate points of departure, the mean errors are the problem of primary importance. Hitherto, the mean errors of lengths and angles were chosen; the procedure was such that the weights of both quantities were determined from the mean errors chosen, and this fixed the ratio of the mean errors. This ratio did not change as a result of the adjustment, but the absolute values of the mean errors did. Provided the adjustment was carried out on a polygonal traverse with fixed points of departure, this change did not matter. In the case of ellipses of errors in the points of departure, this change is not permissible, because it would include the change of the semi-axes of the ellipses of errors and, therefore, also of the positional rigidity of the points of departure. The contribution of this paper is in the exact method by which it is possible to compute a coefficientc, pertaining to the mean angular error selected (in the case of positionally inaccurate pointsd), which determines the mean errorm=±e √s (orm=±d √s) of the lengthss. The solution is based on the definition of the mean error of a unit weight founded on the work of deformation. In the calculus of observations, the work of deformation has so far been determined as the deformation work of internal forces from the corrections of the individual quantities after the adjustment is concluded. However, it is possible, as was demonstrated in this paper, to express it as the deformation work of external forces, which act during the adjustment in pointO (Fig. 1) on the auxiliary static system in the shape of a console, and which provide it with the necessary deformation. If the external forces are expressed by means of the tensor of the auxiliary system, the equation for the mean error of the unit weight will provide a relation between this error and the coefficientc, ord. If the mean angular error is selected and if its weight is put equal to one, an equation of the fourth degree is obtained in terms ofc (ord), from which it is possible to compute this coefficient. From the external forces, necessary to produce the deformation of the auxiliary system during its adjustment, the corrections of the individual elements of this system may be determined. If we want to determine the ellipse of errors in one of the polygonal points, it is necessary to investigated the shifts of this point, which occur if the point is acted upon by a unit force first in one and then in another direction, perpendicular to the first. Both shifts represent conjugate radii of the deformation ellipse. From this ellipse we proceed to the ellipse of errors. The general solution is supplemented by a numerical example of adjusting a polygonal traverse with positionally inaccurate points and, for sake of comparison, also by the adjustment of this traverse with positionally accurate points.

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Anschrift: Husova 5, Praha 1-Staré Město     

汶川8.0级地震前地震空间相关长度变化特征

分析了汶川8.0级地震前的地震空间长度的时空演变。在计算空间相关长度过程中采用长轴与孕震区主要断裂走向一致的椭圆型空间窗,并设计了优化程序。在本次特大地震前观测到了增长的地震空间相关长度。利用合成地震目录对结果进行了显著性检验,结果否定了零假设,表明观察到的模型不是由随机数据干扰造成的,这一观点的置信水平被证实为93.9%。     

Paleomagnetism of some mafic intrusions in the South Carolina Piedmont. I. Magnetic systems with single characteristic directions

Four mafic and two dioritic igneous bodies intruding along the flanks of the Charlotte belt, within the King's Mountain belt and near the Slate-Kiokee-Charlotte belt boundaries in the South Carolina Piedmont, were studied paleomagnetically. The results suggest that these mafic rocks with a single characteristic magnetization are broadly contemporaneous. A mean paleomagnetic pole position of 38.9°N 120.8°E has been calculated for the six bodies. This pole position falls near the 300 Ma old point of Irving's apparent polar wander path (APWP) for North America. The α95 circle of confidence (10.2°) includes points on the APWP between 250–360 Ma. Anomalously old KAr apparent ages, greater than one billion years, are suggestive of excess ⁴⁰Ar contamination for the mafic Buffalo pluton, whereas apparent ages in the range of 360–395 Ma old are interpreted as a maximum age for the other bodies, due to the possibility of small amounts of excess ⁴⁰Ar being present. A 10° westerly tilt correction suggested by Dooley and Smith for early Mesozoic diabase brings the mafic pole position of this study to more nearly coincide with the 350 Ma virtual geomagnetic position of Irving's curve, but the test is inconclusive, awaiting better definition of radiometric ages. The simplest interpretation of the data is that the mafic pole position reflects the direction of the geomagnetic field in late Devonian Carboniferous times. The similarity of this pole position with the points on the APWP for North America provides little evidence for displaced terrains and, with the precision of this pole position, horizontal displacements on the order of that suggested by the Consortium for Continental Reflection Profile (COCORP) results, or by subsequent studies, are not detectable. This and other pole positions from granitic rocks in the southern Appalachian orogen suggest that if displaced terrains exist, the evidence must be found in older rocks, or in other geologic belts.     

甘肃岷县漳县6.6级地震发生日期的触发因素分析及对短临预测方法的思考

短临预报是目前地震预测的难点,通过对2013年甘肃岷县漳县MS6.6地震发生日期的研究,发现发生日期7月22日是节气、低点位移、异年倍七律和朔望共同作用的时间点。据此,本文用一些基于可能触发地震发生的非传统方法的时间预测方法,回顾性地讨论了甘肃岷县漳县MS6.6地震发生日期的临震日期预测问题。通过对岷县漳县MS6.6地震研究,认为在地震短临日期的预测上。一些非传统方法虽然在机理上还有待研究,但在统计上多次证明该方法具有预测准确性的效能。要基于传统方法与非传统方法结合,才能对临震预测的时间逼近,同时提出今后预测临震时间的思路:多因素不断拦截法。     

利用烈度数据点估算中强历史地震震级与震中的方法研究

本文基于地震烈度数据点,用椭圆参数方程对烈度点空间分布进行最小二乘拟合,得到各烈度区椭圆烈度估计线,然后对烈度估计线进行统计回归,得到一组适用于青、甘、川、滇4省中强地震的椭圆烈度分布模型I=f（M,R）.基于所建烈度分布模型,联立考虑中心点和方向性的椭圆数学方程,代入全部烈度数据点估算地震震级和宏观震中.本文的试算震例表明了此方法的可行性,并进行了不确定性分析.利用该方法对明清时期4次烈度点较少的中强历史地震参数进行了估算,所得结果表明了此方法对历史地震有效.     

A study of the Newmark sliding block displacement functions

The Newmark sliding block displacement function, the curve showing the relation between the sliding response and the critical acceleration ratio, is important because its applications have been widespread in seismic designs of earth structures. The aims of this article are twofold: (a) to give a new point of view on the related abscissa parameter, and (b) to provide a new methodology for better understanding the displacement functions. Regarding the new methodology, the study of the properties of the displacement functions is divided into two parts: one is the property of the amplitude at a specific abscissa, and the other is the shape property. After derivations, validations and calibrations, the authors have obtained a simple expression for the characteristic slippage. Simple expressions have also been obtained for the shapes of the displacement functions using observations and derivations. The authors compare their results for the characteristic slippage predictions and for the shapes of displacement functions with related previous studies. Finally, empirical attenuation relationships of the characteristic slippage for different ground types are developed.     

Discharge determination by Acoustic Doppler Current Profilers (ADCP): a moving bottom error correction method and its application on the River Amazon at Óbidos

Abstract

Since 1995, hydrologists of the HiBAm (Hydrology and Geochemistry of the Amazon Basin) Research Program carried out several hundred discharge measurements in the Amazon basin. Implementation of modern discharge measurement techniques using ultrasonic devices (ADCP), give evidence of a systematic error linked to the displacement of the river bottom due to high water velocity close to the bottom. This error leads to an underestimation of discharge value. It was possible to establish a correlation between the water velocity close to the river bottom and the error between real position and position computed by ADCP when the boat returns to its starting point after a two-way crossing of the river. When there is no bottom displacement, i.e. during low flow period, this return position error is weak (less than 50 m). This has allowed quantification of river bed load speed, or bottom displacement speed. A correction method was developed on the basis of this correlation. This method, systematically applied to ADCP discharge measurements obtained at Óbidos hydrometric station, allowed all measured discharges to be corrected, especially for 1997 and 1999 floods. Another method, based on the analysis of real trajectory of the boat (obtained from topographic measurement or GPS positioning) compared with the ADCP computed trajectory, is under study.     

地震动峰值特征参数对土坡地震响应的规律研究

本文随机选取了100条具有不同地震动峰值特征参数的地震动记录,通过基线校正、积分等方法获取每条地震动的峰值加速度（PGA）、峰值速度（PGV）和峰值位移（PGD）三个参数,进而基于有限元数值模拟,通过对比同一个观测点不同峰值特征参数的特性与不同观测点同一峰值特征参数的特性来研究土坡的地震响应规律,分析各地震动峰值特征参数与土坡地震响应的相关性。计算结果表明:PGA,PGV和PGD与土坡地震响应都具有良好的正相关性,其相关性系数平均值分别为0.868,0.981,0.926;PGV的相关性优于PGA和PGD,而PGD的相关性要稍好于PGA。因此在关于土坡稳定性评价中,建议采用PGV作为参数指标。      

Magnetohydrodynamic waves in the erath's liquid core

Summary The possibility of generation of magnetohydrodynamic waves in a rotating spherical system under the efect of small disturbances of the medium velocity is investigated. The initial stationary state of the system has been chosen with a view to known geophysical facts, and the effect of the solid inner core is considered. It is proved that two types of waves with distinctly different frequencies can be generated in the liquid region. The behaviour of longperiod magnetic waves is also studied in detail, and it is proved that the direction in which they propagate at a certain point depends on the position of this point in the meridional plane and on the configuration of the initial magnetic field. The phase velocities of the longperiod magnetic waves, propagating towards the west, have been computed within a selected network of points and the region in which they are generated has been defined. It is proved that the phase velocities of these waves are compatible with the observed velocity of the westward drift of the geomagnetic dipole.     

新疆伽师MS6.4地震前地磁日变化异常分析

以新疆伽师M S6.4地震为案例,利用地磁日变化异常分析方法,对中国地磁台网所记录的地磁观测资料进行分析,结果显示:1、离震中最近的喀什台震前59 d和39 d出现一组逐日比高值异常,排除干扰,且地磁日变形态也出现明显的畸变,异常集中于震中附近台站,震中位于异常阈值线附近;2、震前,新疆及周边地区出现地磁垂直分量日变化幅度的极小值时间在空间上出现地磁低点位移现象,低点时间分界线横穿南天山西段,呈现近EW走向分布,分界线两侧低点时间相差超过2 h,发震日期为异常发生后的38(41±4)d,震中位于低点位移分界线附近;3、地磁逐日比和低点位移异常的发生时间和空间分布可能与伽师M S6.4地震的孕育和发生有非常高的关联性。该研究进一步推广和检验了地磁日变化异常分析方法在地震预报方面的应用。     

Practical method for drawing a VGP path

A statistical method is proposed for the smoothing of polar wander paths and for giving their confidence limits by the mean of successive ellipses. The method is fully parametrical and is based on the relations between the inertia matrix and the parameters of the Fisher distribution, from which a bivariate form is deduced. An elementary tensorial calculation gives the parameters of the confidence ellipse around a vectorial weighted mean, for any unimodal set of vectors. This model can also be used for other statistical tests, wherever the rotational symmetry hypothesis is not consistent (i.e. the fold test).     

Effects of the interplanetary magnetic field clock angle on the shape of bow shock

Using the global magnetohydrodynamics(MHD) simulation model, we investigated the effects of the interplanetary magnetic field(IMF) clock angle on the shape of bow shock, including its rotational asymmetry and subsolar point. For general northward IMF( z component Bz 0), the rotational symmetry of the bow shock is broken by the effects of fast magnetosonic Mach number(Mms), and the cross-sectional line of the bow shock is an ellipse with the semi-major axis along the direction perpendicular to the IMF. The ratio or D-value between semi-major and semi-minor axis can be used to illustrate the extent of asymmetry of the bow shock. On the basis of the multiple parameters fitting, we obtain the changing relationship of both semi-axes with the clock angle and the distance away from the Earth. For general southward IMF(Bz 0), the cross sectional line of the bow shock is highly asymmetrical under the multiple effects of magnetopause and Mms. The effects of IMF clock angle on subsolar point depend mainly on the changing subsolar point of magnetopause as an obstacle. The distance of subsolar point of bow shock from the Earth increases with the increasing IMF clock angle for Bz 0, and decreases with the increasing IMF clock angle for Bz 0.     

地震台站空隙角对地震定位精度的影响

利用四川测震台网记录的芦山余震资料,选取20个M≥2.5地震,以Loc3D(川滇)定位方法定位结果为标准。采用MSDP中常用定位方法(HypoSAT、HYP2000、LocSAT、单纯型),在人为增减台站情况下,使得台站空隙角在25°—320°范围内任意变化,采用相同震相和相同台站对选定的地震事件进行定位,并对定位结果与标准结果对比,结果表明:震中位置在台站空隙角25°—130°任意变化时,4种定位方法效果较好,差别不大;在空隙角达到130°时,震中位移具有随着空隙角增大而逐步变大趋势;在空隙角达到190°时,单纯型法震中位移明显加大,出现随机突跳现象。总体而言,LocSAT法定位效果较好,平均震中位移2.6 km,HYP2000法平均震中位移2.8 km,HypoSAT平均震中位移4.1 km,单纯型定位效果较差,平均震中位移10.3 km。     

基于U型网络的X线头影图像特征点自动定位

为了提高口腔临床诊断效率,提出一种基于U型生成对抗网络的X线头影测量图像结构特征点自动定位方法。该方法在生成对抗网络框架下构建U型生成器网络,用于学习从当前图像到目标特征点偏移距离图的映射;再构建鉴别器网络以判断预测的偏移距离图是否与真实数据一致。将新采集的X线头影测量图像作为已训练的U型生成器网络输入,得到新图像针对目标特征点的偏移距离图,然后通过回归投票方法从预测出的偏移距离图中获得检测目标特征点坐标。实验结果表明,该方法相较于其他方法具有更高的检测成功率,能较准确地获得X线头影测量图像中结构特征点的位置。      

Reflection points and surface points1

A simple expression ties the midpoint of a surface spread to reflection points on a dipping plane. If we use two coordinate systems, an unprimed one with a z-axis perpendicular to the surface and a primed one with a z-axis perpendicular to the reflector, we have where θ is the dip angle, φ is the profile angle, X is the source-to-receiver separation, and D is the depth of the reflector. The reflection point is (x, y_p, D) and the surface midpoint is (x_c, y_c, 0). Using the expression, I show that if complete azimuthal coverage is required at a CMP position, the reflection points lie on an ellipse. Similarly, a fixed reflection point generates a circle of surface midpoints. A circle of CMP positions for fixed θ and φ becomes an ellipse of reflection points and a circle of reflection points becomes an ellipse of midpoints. A user can easily find the shape and location of the reflection area generated by a surface aperture.     

综合InSAR和应变张量估计2016年MW7.0熊本地震同震三维形变场

利用合成孔径雷达(Synthetic Aperture Radar,SAR)影像提取与地质活动相关的三维地表形变场,对深入理解地质灾害的形成机制及其潜在灾害风险评估非常重要.目前,利用SAR影像的同震三维形变场提取主要利用单个像素点的多次观测构建观测方程,然后基于加权最小二乘(Weighted Least Squares,WLS)方法分解从而获得同震三维形变场,因此该方法缺乏对相邻像素点空间相关性的约束.考虑相邻同震位移点的应力连续性,研究学者提出了顾及大地测量应变张量和卫星形变观测的SAR同震三维形变场方法(Extended Simultaneous and Integrated Strain Tensor Estimation from geodetic and satellite deformation Measurements,ESISTEM).本文以2016年MW7.0熊本地震为例,收集了覆盖此次地震的ALOS-2卫星升降轨影像,利用传统差分InSAR(DInSAR)方法和子孔径雷达干涉测量(Multiple Aperture InSAR,MAI)方法分别对升降轨SAR影像对进行处理,得到视线向(LOS)形变和方位向形变,最后利用ESISTEM方法获取此次地震的三维同震形变场.此外,利用GPS和野外考察观测对本文的三维形变场结果进行结果精度分析.研究结果表明,与传统WLS方法相比,ESISTEM方法不仅能有效抑制奇异像素点对形变结果的干扰,同时对近断层的失相干信号能进行较好的恢复,更有助于解释地表破裂区的地震形变特征和掌握地震发生机制.本文确定的三维同震形变场结果显示主形变区发生在Futagawa断层中部和Hinagu断层最北端,最大水平位移为2m,抬升为0.55m.断层破裂以NE-SW走向的右旋走滑为主兼有部分正断成分.应变张量分析表明发震断层处受到了明显的收缩力和剪切力的作用.     

Vertical Displacements in the Nový Kostel Seismoactive Area

Since 1994 annual campaigns of precise levelling have been performed on the network established in the surroundings of Nový Kostel. The network covers the most dynamic part of the West Bohemia seismoactive region with a total of 70 points in 1999. The measurements are connected to a reference point of the national levelling system and to our GPS-gravity network. It was proved by the error and confidence level of the data that small displacements of three and more millimetres can be recognised. The data analysis showed that all points could be divided into several groups according to temporal changes of height. Mutual comparison of these changes enabled to detect both general and very local short-term movements. It appeared that, in general, the involved part of the mountain block is subsiding relative to the Cheb basin. This is in contradiction to the recent uplift of the Kruné hory Mts. The correlation between vertical displacements and earthquake swarms was examined with the conclusion that during a swarm period the movements have special homogeneous pattern, contrary to inter-periods. The division line of different displacements (a fault zone) for the swarms 1994 and 1997 was determined.     

Joint probability density function of the stochastic responses of nonlinear structures

The joint probability density fimction （PDF） of different structural responses is a very important topic in the stochastic response analysis of nonlinear structures. In this paper, the probability density evolution method, which is successfully developed to capture the instantaneous PDF of an arbitrary single response of interest, is extended to evaluate the joint PDF of any two responses. A two-dimensional partial differential equation in terms of the joint PDF is established. The strategy of selecting representative points via the number theoretical method and sieved by a hyper-ellipsoid is outlined. A two-dimensional difference scheme is developed. The free vibration of an SDOF system is examined to verify the proposed method, and a flame structure exhibiting hysteresis subjected to stochastic ground motion is investigated. It is pointed out that the correlation of different responses results from the fact that randomness of different responses comes from the same set of basic random parameters involved. In other words, the essence of the probabilistic correlation is a physical correlation.     

Structure of the present-day velocity field of the crust in the area of the Central-Asian GPS network

The structure of the vector field of present-day horizontal velocities on the Earth’s surface is investigated with the use of the territory covered by the Central-Asian GPS network as an example. A method of identification of groups of GPS points (statistically rigid clusters), for which the rate of change in distances between them is virtually zero, is proposed and realized. Sites of the Earth’s surface (regions) containing such groups of GPS points, within the required measurement accuracy, move in the horizontal plane as two-dimensional rigid bodies. The clustering algorithm, which is based on the Student t statistics in determining the so-called statistical “sample cost,” is developed and carefully tested. The results of identification of regions take into account possible random errors in velocity measurements and do not depend on the chosen frame of reference. The method of identification of regions is sufficiently stable with respect to variations in the number of GPS sites used for clustering. Of all the sites of the Central-Asian GPS network, 323 points were selected for clustering. These sites were measured from 3 to 11 times over an 11-year interval of observations (1995–2005). The estimates of errors of velocity measurement for these sites must not exceed 1.0 mm/yr. As a result, 29 statistically rigid clusters, containing from 3 to 17 GPS sites, were identified, and the kinematic regimes of motion of regions corresponding to these clusters were determined with respect to the stable part of Eurasia. With the general direction of the translatory motion of regions toward the north, the majority of them rotate counterclockwise. Nearly one third of GPS sites do not participate in the formation of clusters; these points fall into the interregional space (IRS), which is characterized by increased strain rates. The IRS structure is partitioned into zones with four directions, of which two directions virtually coincide with directions of the principal axes of the regional strain rate tensor, and the two other directions are oriented diagonally to the principal axes. The axis of the maximum rate of the regional shortening has a north-northwestern orientation. It is in this direction (mainly along the IRS) that the crust’s contraction takes place. There is no spatial correlation between IRS zones and geological faults; however, their angular distributions and the directions of strike-slips on them are interrelated. The resulting patterns of regional motions and IRS deformations consistently reflect the dynamic action of the Indian plate on the territory under investigation.     

新型便携式行业级无人机精灵4RTK定位精度分析

本文针对新型便携式行业级无人机精灵4RTK开展了实测数据的定位精度分析,从有、无控制点情况下的绝对定位精度和无控制点情况下的相对定位精度2方面入手,详细计算后者水平距离和高程差的测量误差,探讨网络RTK技术的无控制点情况在活动构造中的应用。结果表明,无人机精灵4RTK在天气较晴朗、飞行高度100 m、镜头角度正射向下、旁向和航向重叠率均为70%等实测条件下,有控制点情况下水平位置和高程测量误差均<4.5 cm,无控制点情况下水平位置测量误差<0.60 m、高程测量误差<1.90 m;无控制点情况下,当实际水平距离<300 m时,水平距离测量误差<0.100 m,当高程差<2.8 m时,高程差测量误差<0.100 m;以复合运动性质的发震断层为例,初步探讨认为无人机精灵4RTK的网络RTK技术在无控制点情况下提取活动构造的定量参数时,其水平位移量精度能够达到厘米级,垂直位错量精度可能达不到厘米级,当垂直位错量小于8.0 m时,精度能够达到0.157 m。